Three-Dimensional Computer Vision: A Geometric Viewpoint / Edition 1

Three-Dimensional Computer Vision: A Geometric Viewpoint / Edition 1

by Olivier Faugeras
     
 

ISBN-10: 0262061589

ISBN-13: 9780262061582

Pub. Date: 11/19/1993

Publisher: MIT Press

This monograph by one of the world's leading vision researchers provides a thorough, mathematically rigorous exposition of a broad and vital area in computer vision: the problems and techniques related to three-dimensional (stereo) vision and motion. The emphasis is on using geometry to solve problems in stereo and motion,with examples from navigation and

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Overview

This monograph by one of the world's leading vision researchers provides a thorough, mathematically rigorous exposition of a broad and vital area in computer vision: the problems and techniques related to three-dimensional (stereo) vision and motion. The emphasis is on using geometry to solve problems in stereo and motion,with examples from navigation and object recognition.Faugeras takes up such important problems in computer vision as projective geometry, camera calibration,edge detection, stereo vision (with many examples on real images), different kinds of representations and transformations (especially 3-D rotations), uncertainty and methods of addressing it, and object representation and recognition. His theoretical account is illustrated with the results of actual working programs.Three-Dimensional Computer Vision proposes solutions to problems arising from a specific robotics scenario in which a system must perceive and act. Moving about an unknown environment, the system has to avoid static and mobile obstacles, build models of objects and places in order to be able to recognize and locate them, and characterize its own motion and that of moving objects, by providing descriptions of the corresponding three-dimensional motions. The ideas generated, however, can be used indifferent settings, resulting in a general book on computer vision that reveals the fascinating relationship of three-dimensional geometry and the imaging process.Olivier Faugeras is Research Director of the Computer Vision and Robotics Laboratory at INRIA Sophia-Antipolis and a Professor of Applied Mathematics at the Ecole Polytechnique in Paris.

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Product Details

ISBN-13:
9780262061582
Publisher:
MIT Press
Publication date:
11/19/1993
Series:
Artificial Intelligence Series
Edition description:
New Edition
Pages:
700
Product dimensions:
8.00(w) x 9.00(h) x 2.00(d)
Age Range:
18 Years

Related Subjects

Table of Contents

Series Foreword
Figures
Tables
Preface
1Introduction1
2Projective Geometry7
3Modeling and Calibrating Cameras33
4Edge Detection69
5Representing Geometric Primitives and Their Uncertainty125
6Stereo Vision165
7Determining Discrete Motion from Points and Lines245
8Tracking Tokens over Time301
9Motion Fields of Curves341
10Interpolating and Approximating Three-Dimensional Data403
11Recognizing and Locating Objects and Places483
12Answers to Problems559
A. Constrained Optimization623
B. Some Results from Algebraic Geometry625
C. Differential Geometry629
Bibliography635
Index659

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